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Simplifying -102 = 6(3x + -2) Reorder the terms: -102 = 6(-2 + 3x) -102 = (-2 * 6 + 3x * 6) -102 = (-12 + 18x) Solving -102 = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -102 + -18x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -102 + -18x = -12 + 0 -102 + -18x = -12 Add '102' to each side of the equation. -102 + 102 + -18x = -12 + 102 Combine like terms: -102 + 102 = 0 0 + -18x = -12 + 102 -18x = -12 + 102 Combine like terms: -12 + 102 = 90 -18x = 90 Divide each side by '-18'. x = -5 Simplifying x = -5
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